Differentiability and Continuity (Unit 2 Calculus)

Description

⭐⭐ This AP Calculus lesson provides you with a customizable and fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for Differentiability and Continuity.⭐⭐

✅Lesson 2.4 Differentiability and Continuity is a two-day lesson with an emphasis on Mathematical Practice 2 Connecting Representations.

Skill 3.E: Provide reasons or rationales for solutions and conclusions.

✅ What is included in this resource?

⭐ Guided Student Notes

⭐ Video Lesson Link for Flipped Classroom models

⭐ Google Slides®

⭐ Fully-editable SMART Board® Slides (You MUST have SMART Notebook software to open.)

⭐ Homework/Practice assignment

⭐ Daily Lesson Quiz (1 set)

⭐ Full solution sets

⭐ Fully-editable PowerPoint Files (You MUST have PowerPoint to edit.)

✅Learning Objective:

★ Understand the relationship between differentiability and continuity

★ Recognize that a function that is differentiable at a point must be continuous at that point

★ Show that a continuous function may fail to be differentiable at a point in its domain

College Board® Topics:

⭐ Topic 2.3: Estimating Derivatives of a Function at a Point

⭐ Topic 2.4: Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist

College Board® Learning Objectives:

⭐ CHA-2: Derivatives allow us to determine rates of change at an instant by applying limits to knowledge about rates of change over intervals.

⭐ CHA-2.D: Estimate derivatives.

⭐ FUN-2: Recognizing that a function’s derivative may also be a function allows us to develop knowledge about the related behaviors of both.

⭐ FUN-2.A: Explain the relationship between differentiability and continuity.

Click HERE to SAVE 20% by buying all DIFFERENTIATION: DEFINITION AND BASIC DERIVATIVE RULES products, including cooperative activities, in UNIT 2 MEGA BUNDLE.

AP® is a registered trademark of the College Board® which was not involved in the creation of, and does not endorse this product.

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